- #1

kwal0203

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## Homework Statement

Suppose [tex] a_{n}=\frac{n^2-2n+1}{2n^2+4n-1} [/tex]

For each positive number [tex] \epsilon [/tex], find a number N such that:

[tex] \mid a_{n} - L\mid < \epsilon [/tex] whenever n > N.

## Homework Equations

## The Attempt at a Solution

[tex] \mid \frac{n^2 -2n + 1} {2n^2+4n-1} - \frac{1} {2} \mid < \epsilon [/tex]

[tex] \mid \frac{3-8n} {4n^2+8n-2} \mid < \epsilon [/tex]

Now I have no idea how to isolate the n so that I can find the N value. Any help appreciated.

Thanks!

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